# How to graph y=-\cos(x)

How to graph $y=-\mathrm{cos}\left(x\right)$
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sukljama2
Start from $y=\mathrm{cos}\left(x\right)$:
graph
For the same value of argument of x function $-\mathrm{cos}\left(x\right)$ takes a value that is equal to the value of $\mathrm{cos}\left(x\right)$ by absolute value, but opposite in its sign.
So, when $\mathrm{cos}\left(x\right)$ is positive, $-\mathrm{cos}\left(x\right)$ is negative with the x-axis being an axis of symmetry. And, when $\mathrm{cos}\left(x\right)$ is negative, $-\mathrm{cos}\left(x\right)$ is symmetrically positive with the x-axis.
The graph of $y=-\mathrm{cos}\left(x\right)$:
It's mirror image of a graph of function $y=\mathrm{cos}\left(x\right)$ with the x-axis acting as a mirror.
Generally, graphs of $y=f\left(x\right)$ and $y=-f\left(x\right)$ are symmetrical relative to the x-axis.

Raymond Foley
The graph of $y=-\mathrm{cos}x$ is

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